1040816784 has 160 divisors (see below), whose sum is σ = 3148369920. Its totient is φ = 290174976.

The previous prime is 1040816783. The next prime is 1040816813. The reversal of 1040816784 is 4876180401.

It is a super-2 number, since 2×1040816784² = 2166599155712205312, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1040816783) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2999299 + ... + 2999645.

It is an arithmetic number, because the mean of its divisors is an integer number (19677312).

Almost surely, 2^1040816784 is an apocalyptic number.

1040816784 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1040816784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1574184960).

1040816784 is an abundant number, since it is smaller than the sum of its proper divisors (2107553136).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1040816784 is a wasteful number, since it uses less digits than its factorization.

1040816784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 557 (or 551 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 39.

The square root of 1040816784 is about 32261.6922060824. The cubic root of 1040816784 is about 1013.4245691553.

The spelling of 1040816784 in words is "one billion, forty million, eight hundred sixteen thousand, seven hundred eighty-four".